1331133203400 has 768 divisors, whose sum is σ = 5549284823040. Its totient is φ = 254917324800.

The previous prime is 1331133203359. The next prime is 1331133203447. The reversal of 1331133203400 is 43023311331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 494292454 + ... + 494295146.

It is an arithmetic number, because the mean of its divisors is an integer number (7225631280).

Almost surely, 2^{1331133203400} is an apocalyptic number.

1331133203400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331133203400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774642411520).

1331133203400 is an abundant number, since it is smaller than the sum of its proper divisors (4218151619640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1331133203400 is a wasteful number, since it uses less digits than its factorization.

1331133203400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3566 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 1331133203400 its reverse (43023311331), we get a palindrome (1374156514731).

The spelling of 1331133203400 in words is "one trillion, three hundred thirty-one billion, one hundred thirty-three million, two hundred three thousand, four hundred".